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Finding the Third Proportional to 140,771 and 207,423

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Solution

The third proportional to 140,771 and 207,423 is: 305,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,771 : 207,423 = 207,423 : x
  2. Step 2: Convert to fraction form
    140,771/207,423 = 207,423/x
  3. Step 3: Cross multiply
    140,771x = 207,423 × 207,423
  4. Step 4: Simplify right side
    140,771x = 43,024,300,929
  5. Step 5: Solve for x
    x = 43,024,300,929/140,771
  6. Step 6: Final answer
    x = 305,633.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.